A1.2.2.1.1 Identify, describe, and/or use constant rates of change.
Jeff’s restaurant sells hamburgers. The amount charged for a hamburger ( h) is based on the cost for a plain hamburger plus an additional charge for each topping (t ) as shown in the equation below. h = 0.60t + 5 What does the number 0.60 represent in the equation? A.the number of toppings B. the cost of a plain hamburger C. the additional cost for each topping D. the cost of a hamburger with 1 topping Answer: C
A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
A ball rolls down a ramp with a slope of "2" /"3" . At one point the ball is 10 feet high, and at another point the ball is 4 feet high, as shown in the diagram below.
What is the horizontal distance (x), in feet, the ball traveled as it rolled down the ramp from 10 feet high to 4 feet high? A.6 B. 9 C. 14 D. 15 Answer: A
A1.2.2.1.3 Write or identify the linear equation when given: the graph of the line, two points on the line, or the slope and a point on the line. Note: Linear equation may be in point-slope, standard, and/or slope-intercept form.
A graph of a linear equation is shown below.
Which equation describes the graph? A. y = 0.5x – 1.5 B. y = 0.5x + 3 C. y = 2x – 1.5 D. y = 2x + 3 Answer: D
A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
A juice machine dispenses the same amount of juice into a cup each time the machine is used. The equation below describes the relationship between the number of cups (x) into which juice is dispensed and the gallons of juice (y) remaining in the machine. x + 12y = 180 How many gallons of juice are in the machine when it is full? A.12 B. 15 C. 168 D. 180 Answer: B
A1.2.2.1 - Describe, compute, and/or use the rate of change (slope) of a line.
Key Vocabulary: Point-Slope Form, Standard Form, Slope-Intercept Form, Slope, Rise, Run, X-Intercept, Y-Intercept
A1.2.2.1.1 Identify, describe, and/or use constant rates of change.
Jeff’s restaurant sells hamburgers. The amount charged for a hamburger ( h) is based on the cost for a plain hamburger plus an additional charge for each topping (t ) as shown in the equation below.h = 0.60t + 5
What does the number 0.60 represent in the equation?
A.the number of toppings
B. the cost of a plain hamburger
C. the additional cost for each topping
D. the cost of a hamburger with 1 topping
Answer: C
A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
A ball rolls down a ramp with a slope of "2" /"3" . At one point the ball is 10 feet high, and at another point the ball is 4 feet high, as shown in the diagram below.What is the horizontal distance (x), in feet, the ball traveled as it rolled down the ramp from 10 feet high to 4 feet high?
A.6
B. 9
C. 14
D. 15
Answer: A
A1.2.2.1.3 Write or identify the linear equation when given: the graph of the line, two points on the line, or the slope and a point on the line. Note: Linear equation may be in point-slope, standard, and/or slope-intercept form.
A graph of a linear equation is shown below.Which equation describes the graph?
A. y = 0.5x – 1.5
B. y = 0.5x + 3
C. y = 2x – 1.5
D. y = 2x + 3
Answer: D
A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
A juice machine dispenses the same amount of juice into a cup each time the machine is used. The equation below describes the relationship between the number of cups (x) into which juice is dispensed and the gallons of juice (y) remaining in the machine.x + 12y = 180
How many gallons of juice are in the machine when it is full?
A.12
B. 15
C. 168
D. 180
Answer: B
Additional Resources:
PDESAS Algebra I Module 4 ResourcesKhan Academy - Slope of a Line